36101041200 has 960 divisors, whose sum is σ = 158606515200. Its totient is φ = 7614259200.

The previous prime is 36101041189. The next prime is 36101041243. The reversal of 36101041200 is 214010163.

It is a happy number.

36101041200 is a `hidden beast` number, since 3 + 610 + 10 + 41 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58892094 + ... + 58892706.

It is an arithmetic number, because the mean of its divisors is an integer number (165215120).

Almost surely, 2^36101041200 is an apocalyptic number.

36101041200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36101041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79303257600).

36101041200 is an abundant number, since it is smaller than the sum of its proper divisors (122505474000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36101041200 is a wasteful number, since it uses less digits than its factorization.

36101041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 36101041200 its reverse (214010163), we get a palindrome (36315051363).

The spelling of 36101041200 in words is "thirty-six billion, one hundred one million, forty-one thousand, two hundred".